This paper comprises two parts. In Section  we present a positive result by introducing the class \(\mathbf {domDCPO}\)  of dominated dcpos and showing it to be \(\Gamma \) -faithful. Importantly, \(\mathbf {domDCPO}\)  subsumes all currently known \(\Gamma \) -faithful classes listed above. In the second part (Sections –) we show that the answer to the Ho-Zhao problem is negative. We construct a dcpo \({\mathcal {H}}\)  which is not dominated, and derive from it a dominated dcpo \(\widehat{{\mathcal {H}}}\)  so that \({\mathcal {H}}\lnot \cong \widehat{{\mathcal {H}}}\)  but \(\Gamma ({\mathcal {H}}) \cong \Gamma (\widehat{{\mathcal {H}}})\) . The construction makes use of Johnstone's famous example of a dcpo \(\mathcal {S}\)  whose Scott topology is not sober ([1]}). To familiarize the reader with Johnstone's dcpo \(\mathcal {S}\) , we revisit it in Section , highlighting its peculiarities.
This prepares us for the counterexample \({\mathcal {H}}\) , informally presented in Section . Intrepid readers who are keen to pursue the detailed construction of \({\mathcal {H}}\)  and how it works in answering the Ho-Zhao problem may then continue their odyssey into Section .
